Statistics Measures and Distributions

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What is the relationship between the interquartile range and the semi-interquartile range?

The semi-interquartile range is twice the interquartile range.

There is no relationship between the interquartile range and the semi-interquartile range.

The semi-interquartile range is equal to the interquartile range divided by 2. (correct)

The semi-interquartile range is the square root of the interquartile range.

What does the relative distance of Q1 and Q3 from the median (Q2) indicate about the distribution of scores?

It indicates the skewness of the distribution.

It indicates the shape of the distribution. (correct)

It indicates the standard deviation of the distribution.

It indicates the variance of the distribution.

In a perfectly symmetrical distribution, what is the relationship between Q1 and Q3 relative to the median?

Q1 and Q3 will be equidistant from the median, but in opposite directions.

Q1 and Q3 will be exactly the same distance from the median. (correct)

There is no relationship between the distances of Q1 and Q3 from the median in a perfectly symmetrical distribution.

Q1 will be twice the distance from the median as Q3.

What does the lowercase italic 'x' represent in the formula for average deviation?

The score's deviation from the mean. Signup and view all the answers

How is standard deviation calculated?

It is the square root of the variance. Signup and view all the answers

What does negatively skewed examination results indicate about the test?

The test was too easy. Signup and view all the answers

What is the definition of the interquartile range?

The difference between the 75th and 25th percentiles Signup and view all the answers

Which measure of central tendency is defined as the middle score in a distribution?

Median Signup and view all the answers

Which of the following is a measure of variability that indicates how scores are scattered or dispersed?

Interquartile range Signup and view all the answers

What type of measurement is used in tests of hand grip strength?

Ratio Signup and view all the answers

Which measure of central tendency is the most frequently occurring score in a distribution?

Mode Signup and view all the answers

What is the definition of an interval scale?

A scale with equal intervals between numbers Signup and view all the answers

Which term refers to the steepness of a distribution in its center?

Kurtosis Signup and view all the answers

What does a positively skewed distribution indicate about the test?

The test was too difficult. Signup and view all the answers

Which type of curve describes the peakedness/flatness of a distribution?

Platykurtic Signup and view all the answers

What is a raw score that has been converted from one scale to another, using an arbitrarily set mean and standard deviation?

Standard score Signup and view all the answers

Which statistical measure indicates the dispersion or spread of scores in a distribution?

Standard deviation Signup and view all the answers

In what scenario would adding more items that are easier be desirable?

To better discriminate at the lower end of the test score distribution. Signup and view all the answers